Question 2: Identify the co-ordinates of any local and absolute extreme points and inflection points for the function: Y = 4x? + 21 x² +36x - 20

Q: QUESTION 12 Draw the graph of the given function. 1. f: R Z, defined by f(z) = [2x – 3] 2. f: Z Z,…

A:

Q: Question 2: Check whether the given functions have at least one solution over the given intervals by…

A: Intermediate value theorem Theorem States that if function is continuous on the interval [a,b] and…

Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: Question 5. Show that the function f(x) = x5 + 3x3 + 2x +1 is one-to-one.

A: Please rate

Q: Question 4 Let f(x) = V5 – x² (a) Find the domain and range of f (x) (b) Determine the x- and…

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Q: Question Three Let f (x) = x2 - 3x + 2, g(x) = V3 – x Find following functions with their domain 1)…

A: Let f(x) = x2-3x+2 , g(x)=3-x1)f+gx=fx+gx2)f.gx=fx.gx3)fgx=f(x)g(x)

Q: Question 11: Determine if the function f(x) = 8x2 + 4x + 2 is even, odd, or neither.

A: Given function is,

Q: Consider the following function and graph. 2² - 6 0 f(x) : The function is differentiable everywhere…

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Q: Question 1) Find the absolute maximum and minimum of the function f f (x, y) = yx² where - 2<x< 2 -…

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Q: QUESTION 1 Find the absolute maximum and minimum values of the function in the given interval. Use…

A: This is a problem related to maxima and minima of the function. please follow the procedure given…

Q: Question 9 x+3 Consider the function:f (x) = + 4 x2+5x+6 Which of the following is not true.

A: To find the statement that is nor true

Q: Problem 1. (a) Prove that the function f(x) = x³ – 4x + 2 has three distinct roots in the interval…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Question (3): Sketch the graph of the following two functions (A (10 – 2x if x 2 lx² + 2_if x > 2

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Q: QUESTION 3 Let f(x) = 3-2x g(x) = 2x2 +1 and nx)= Find (fohog)x) 2x O a1- 1 Ob. 2-8x2 1 c. 16x2 –…

A: The objective of the question is determine the composition of functions and choose the correct…

Q: Question 24 The function f (x) = 2x² – 8x + 4 is increasing on the interval ... A [2, ∞ ) B (- ∞ ,0]…

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Q: • Question 14 Given the function f(x) = 5 + 7x², calculate the following %3D f(a) = f(a + h) = f(a +…

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Q: Find the maxima and minima of f)x) = -5-3x + x^3 on the horizontal span of 0 to 4. Sketch a graph…

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Q: Question #2 The function h(t)=-16r + 17t+6 can be used to determine the height, h(t), in feet, of a…

A: We have to find the time at which height was 2.25 feet above the ground. This problem has to be…

Q: Question 2. Given that f'(x) = 4.x(x² + 8)-1/3 and f(0) = 0, find the function f(x).

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Q: Question 6 Given the function f(x) = - 5 + 3x², calculate the following values: %3D f(a) = f(a + h)…

A: For f(a) ,we put x=a in f(x)  For f(a+h), we put x=a+h in f(x)

Q: Question.4 (a) Use a graphing utility to estimate the absolute maximum and minimum values off, if…

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Q: QUESTION 13 Find the domain of the function. 2x g(x) %3D x2 - 4 (-00, 0) O (4, ») O (-x, 0) U (0, o)…

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Q: QUESTION 7 Find and simplify the difference quotient x + h)-fixl, hr0 for the given function. fx) =…

A: Difference quotient

Q: Question 2 Consider the functions f(x) = 2r+1, g(x) = , h(x) = 4x2-3; r <0 %3D %3D and 1 +2 F(x) =…

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Q: QUESTION 6 Determine if the following equation define y as a function of x x+y3=8

A: We have to find function

Q: QUESTION 4 Given the function f(x) = 4x + 3 and g(x) = x2 - 5x + 1. Find, a) f-1(7) b) gf(x)

A: Given function  f(x)= 4x+3 g(x) = x2-5x+1

Q: QUESTION 1 Find and simplify the difference quotient fx +h) - f{x), hz 0 for the given function.…

A: The given function is  f(x) = 8x2

Q: Question 2 Find the x-intercepts, y-intercept, and vertex of the following function: f (z) = x² - 6x…

A: The given function is: fx=x2-6x+7 To find the x-intercepts, substitute fx=0, that is, write 0 in…

Q: Question B1 Determine a E R – {0} such that the function P(x) = 2ax – 3ax² – 3x + 7a (1) has two…

A: Given function is: Px=2ax3-3ax2-3x+7a If this function has two extreme points, then there exists…

Q: Question 1. Find the rule of the piecewise function. if a < - 1 f(z) = { if -1<x < 0 if 0<¤ < 2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: QUESTION 15 Identify whether or not the following equation represents a function: 2 x=4-5y Function…

A:

Q: Question 8 Suppose f: [a , b] → R is a function with no absolute maximum on [a , b] Which of the…

A: Given that: f:[a, b]→R is a function with no absolute maximum on [a, b].

Q: Question 3 Find two functions f(x) and g(x) so that h(x) = (fog)(x) a) h(x) = (2x + 3)². 1 b) h(x) =…

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Q: I don't understand this problem

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Q: QUESTION 5 2 The absolute minimum of f(x)= 3 x3-2x 0n [-1,8] is y= OA OB5 OC OD.

A:

Q: QUESTION 8 Given functions f and g, perform the indicated operations. f(x) = 5x + 9, Find fg. 20x2+…

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Q: Question 9. Consider the real functions: r2 - 4 f(x) :- х — 2 g(x) = x + 2. Are these functions…

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Q: QUESTION 3 Find all the zeros of the function f(x) State the value that intersects the x - axis. fx)…

A: Given that,  fx=x3-8x2+25x-26 To find all the zeros of the function

Q: QUESTION 8 State if the function his even, odd or neither h(x)=2x2-x4+1

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Q: Question 8 x + 3 If f(x) = 3x – 3 and g(x) %3| 3 (a) f(g(x)) (b) g(f(x)) (c) Thus, g and f are…

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Q: ,0< x<1 C) graph the following function f(x) = {2 – x , 1< x<2 %3D

A: The graph of the given function is shown below.

Q: QUESTION 7 State the domain of the function 15x f(x) = %3D x2-4x -21

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Q: QUESTION 1 Given the function f(x) = 2x + 1 and g(x) = 3 - kx, find a) f(2) b) f-1(x) c) the…

A: We will find answers to all 3 parts as folllowing.

Q: Question 3. Find the absolute maximum and absolute minimum of the function f(x) = 3.x2/3 – x on the…

A: To find the absolute maxima and absolute minima of the following function  f(x) = 3x2/3 - x  in…

Q: Question 1 Which of the following functions passes through the point(0,12) and satisfiesf"(x)=8?

A: step 2 complete solution

Q: Question 8 3 (2x+4)³-8 } is

A:

Q: Question 7 Determine if the given function is even, odd, or neither. P(x) = -3x-8x-x+1 %3D O odd…

A: We have to be find

Q: Question 6 Determine the domain of the function. f(x) = x3 %3D All real numbers O No solution Ox<0…

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Q: Question 2: Identify the co-ordinates of any local and absolute extreme points and inflection points…

A: Given: y=4x3+21x2+36x-20y'=12x2+42x+36=0⇒2x2+7x+6=0⇒x=-2   or  x=-32

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.